Finding the Fourth Proportional to 6,277.95, 9,404.37 and 3,777.77

Step by Step Solution

1. Step 1: Write the proportion equation
   6,277.95 : 9,404.37 = 3,777.77 : x
2. Step 2: Convert to fraction form
   6,277.95/9,404.37 = 3,777.77/x
3. Step 3: Cross multiply
   6,277.95x = 9,404.37 × 3,777.77
4. Step 4: Simplify right side
   6,277.95x = 35,527,499.83
5. Step 5: Solve for x
   x = 35,527,499.83/6,277.95
6. Step 6: Final answer
   x = 5,659.09